{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C) 2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "用scikit-learn进行LDA降维 https://www.cnblogs.com/pinard/p/6249328.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x1874aeb0>"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MzVWDaXv8ET6h+8Ob1mO+PKU6eo+zMYNRlyd8oJDL5XzfR0/348kTtf3EQeKV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x190bc0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "%matplotlib inline\n",
    "from sklearn.datasets.samples_generator import make_classification\n",
    "X, y = make_classification(n_samples=1000, n_features=3, n_redundant=0, n_classes=3, n_informative=2,\n",
    "                           n_clusters_per_class=1,class_sep =0.5, random_state =10)\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig, rect=[0, 0, 1, 1], elev=30, azim=20)\n",
    "plt.scatter(X[:, 0], X[:, 1], X[:, 2],marker='o',c=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.43377069  0.3716351 ]\n",
      "[ 1.20962365  1.03635081]\n"
     ]
    },
    {
     "data": {
      "image/png": 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RSdkSJSQoLEhiakfLwNR+MsjVX4q0LiyFixcWEY9tv1+/gZItW4TkyJFHJk36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L0y7Nm25wWD5Tnw4hP7D0RMTAzeNb1o/q2yeRbULIipNaby0fiPAChbqiyHDx4ivE9lJEni1oEU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\nTRnEVLxQ1tbW1KrjBWI2QrUZxGw8yrnmSV+yo6MjF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      "text/plain": [
       "<matplotlib.figure.Figure at 0x190a0430>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "print pca.explained_variance_ratio_\n",
    "print pca.explained_variance_\n",
    "X_new = pca.transform(X)\n",
    "plt.scatter(X_new[:, 0], X_new[:, 1],marker='o',c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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12Ipaq0Kj1yKsgpj765C6Mw0vnRd+/n5EhUfx5mtvUq9xPVp83oyg5oFYTBY+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\ntO8y1w6kYjAauHrkGhFlw9k3+0dUm0r7D9qieTTObElh1zuJFGtcDM2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F2ZxEhQoV8q79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\nCVzTNK2E0glc0zSthPp/8Z6izNiY1yoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x162ced10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
    "lda = LinearDiscriminantAnalysis(n_components=2)\n",
    "lda.fit(X,y)\n",
    "X_new = lda.transform(X)\n",
    "plt.scatter(X_new[:, 0], X_new[:, 1],marker='o',c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.43377069  0.3716351   0.1945942 ]\n",
      "[ 1.20962365  1.03635081  0.5426502 ]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=3)\n",
    "pca.fit(X)\n",
    "print pca.explained_variance_ratio_\n",
    "print pca.explained_variance_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
